20/17

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Interval information

Ratio

20/17

Factorization

2² × 5 × 17^-1

[2 0 1 0 0 0 -1⟩

Size in cents

281.3583¢

Name

diatismic minor third

17uy2, suyo 2nd

[math]\text{A2}^{5}_{17}[/math]

Special properties

Tenney height (log₂ nd)

8.40939

Weil height (log₂ max(n, d))

8.64386

Wilson height (sopfr(nd))

26

Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])

~4.20109 bits

Open this interval in xen-calc

In 17-limit just intonation, 20/17 is the diatismic minor third, measuring about 281.4 ¢. It falls short of the Pythagorean minor third (32/27) by a diatisma (136/135), hence the name. It is the mediant of 7/6 and 13/11, as it is (7 + 13)/(6 + 11). It is found in the harmonic series between the 17th and 20th harmonics.

See also

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